Search a number
-
+
122221012120201 is a prime number
BaseRepresentation
bin11011110010100011001100…
…000000101111001010001001
3121000202012210110220212120001
4123302203030000233022021
5112004432113100321301
61111535320254403001
734513114421544001
oct3362431400571211
9530665713825501
10122221012120201
1135a41705057095
121185b301800461
135327513279917
1422277584ab001
15e1e3b05eac01
hex6f28cc02f289

122221012120201 has 2 divisors, whose sum is σ = 122221012120202. Its totient is φ = 122221012120200.

The previous prime is 122221012120177. The next prime is 122221012120211. The reversal of 122221012120201 is 102021210122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66062774665801 + 56158237454400 = 8127901^2 + 7493880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221012120201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221012120211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110506060100 + 61110506060101.

It is an arithmetic number, because the mean of its divisors is an integer number (61110506060101).

Almost surely, 2122221012120201 is an apocalyptic number.

It is an amenable number.

122221012120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221012120201 is an equidigital number, since it uses as much as digits as its factorization.

122221012120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122221012120201 its reverse (102021210122221), we get a palindrome (224242222242422).

The spelling of 122221012120201 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred twenty thousand, two hundred one".